A rocket of proper length 40 m is observed to be 32 m long as it rushes past the earth. What is its speed relative to the earth?

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of…

A: Since Quicksilver can run at a velocity of 0.56c, we can use the Lorentz factor to determine how…

Q: Suppose a rocket starts from rest on Earth (frame S) and accelerates at a rate of 1000 m/sec² (as…

A: To solve this problem, we can use the principles of special relativity. We can start by calculating…

Q: A particle with mass m has speed 0.649c relative to inertial frame S. The particle collides with an…

A: The mass of particle-1 is given as, m1=m, The mass of particle-2 is given as, m2=m, The initial…

Q: A light flashes at position x = 0 m. One microsecond later, a light flashes at position x = 1000 m.…

A: In first reference frame S, Spatial interval of the event, ∆x=1000 m-0 m      =1000 m   Temporal…

Q: State Snell's law?

A: Snell's law states that the ratio of the sine of angle of incidence in the first medium to the sine…

Q: A particle known as a pion lives for a short time before breaking apart into other particles.…

A: Given data as per question speed = 0.990c t = 3.5* 108

Q: A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion…

A: GivenThe aarnion has an average lifetime (at rest), τ= 87 nsDistance tavelled by aarnion, d=24 m

Q: An object moves at a speed of 0.80 in the +x direction, as measured in the Home Frame. What is its…

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Q: The elementary particle called a muon is unstable and decays in about 2.20μs, as observed in its…

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Q: A spaceship is traveling with constant velocity +0.4câ relative to Earth. At t = () a missile is…

A: Step 1:  Data provided in the problem Speed of the spaceship: v1 = 0.4 c in positive x…

Q: 3. A relativistic muon is travelling through space at a speed of 0.95c. An observer on Earth tracks…

A: Speed of muon: v= 0.95c  Time interval in Earth frame of reference: ∆t'= 1.0 ms= 1.0 x 10-3 s.

Q: A spacecraft with proper length 200 m travels at speed of 0.2c relative to an inertial frame of…

A: Proper length of space craft L= 200mspeed of space craft v=0.2C Speed of small ball U= 0.14C

Q: Deep space resupply. A rocket (frame S′) bound for Planet X leaves Earth (frame S) traveling at…

A: Spacetime Diagrams for Deep Space Resupply

Q: Luke is in a spaceship travelling at speed B = 0.6 relative to the Death Star (rest frame S). Luke…

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Q: Two spacecraft of equal rest length (100 ns) pass very close to each other as they travel in…

A: a)Situation can be described by the sketch below,

Q: 31. A spaceship appears to be shortened to one-third of its proper length. What is its relative…

A: As per your requirement I'm solving question number 31.Measured length is 1/3 of it's proper…

Q: A plank, fixed to a sled at rest in a stationary frame S, is of length L, and makes an angle of 44'…

A: GivenInitial length=L0and angleθ0=44°Later slet zoomsvelocity =vangleθ=60°

Q: A 100m long (as measured in the spaceships frame) spaceship passes you at a speed of 0.6c. The…

A: Data  we have  length,L=100m velocity,v=0.6c Time,∆t'=5s

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.993c. Two…

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Q: in a particular inertial frame S, two events occur a distance of 1.0 km apart with event 1 occuring…

A: Answer  : Consider there are two frames :  S (x,y,z,t)  frame and S' (x',y',z',t')  frame. S' frame…

Q: A rod of length Lo is at rest in the S' reference frame, and creating an angle of 45° from the…

A: Length of rod in the S' frame = L0Length of rod in the S frame = Langle between the rod and the…

Q: Two rockets are each 1800 m long in their rest frame. Rocket Orion, traveling at 0.80c relative to…

A: Let S be the earth's frame and S' be the rocket Sirius's reference frame.  S' moves relative to S…

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

A: Consider The proper length of slower spaceship is "L" The proper length of faster spaceship "3L"The…

Q: A spaceship whose rest length is 432 m has a speed of 0.85c with respect to a certain reference…

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Q: Based on the observer in the S frame, what is the time and distance between the two shots?

A: It consists of relativistic phenomenon. position and time are given in the moving frame. One needs…

Q: In their common rest frame, two stars are 92.0 light-years (ly) apart. If they are 36.0 apart as…

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Q: A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long.…

A: Given data The speed of the rocket is, v=0.77c The observed length of the rocket observed on the…

Q: At one point in time ,two twins are 30years old . At dis time .one of them gets on a rocket and…

A: Given that: v=0.8cT=24 years   It is required to determine the age of the twin that remained on…

Q: You and your archenemy pass each other in rockets that are each traveling 0.57c relative to the…

A: Lorentz transformation.  L = L01-v2c2 V= relative speed of both the spaceship C = speed of light Lo=…

Q: nas velocity u = (ệc. 0. c) relative to frame S'. Find the velocity of the ative to S.

A: Solve the problem using relativistic transformation of velocity

Q: Two spaceships pass each other traveling in opposite directions. A passenger on ship A, which she…

A: 100-m 0.920 c 36.0 m 95.0 2.20×108 m/s

Q: Chapter 37, Problem 006 Reference frame S' is to pass reference frame S at speed v along the common…

A: Solution:   Given values,   Time(∆ta)=14 svelocity(v)=0.99c

Q: In a linear collider, two particles travel toward each other from opposite directions before…

A: Given data :  In lab frame Speed of electron u =( 2/3 )c  Speed of positron v = (3/4) c  Where c is…

Q: A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame to be 50.0…

A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…

Q: A new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…

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Q: Two spaceships are moving away from Earth in opposite directions, one at 0.83*c, and one at 0.83*c…

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Q: The distance from earth to the center of galaxy is 23 000 ly (1 ly = 9.47 x 10¹5 m) as measured by…

A: 1) Distance between earth to center of galaxy: D = 23000 ly 1 ly = 9.47 × 1015 m D = (2.3 × 104 ×…

Q: Muon. A muon produced by nuclear reaction in a space station is moving at 0.950c towards Earth. Its…

A: Given Velocity (v)      = 0.950 c Life time ∆τ = 2.2×10-6 s

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of…

A: A) Time measured by Quicksilver =distance measured by himHis speed =4.82 x 1050.75 x 3 x 108=0.0021…

Q: Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed…

A: From spectial theory of relativity x' = x-vt1-v2c2but according to question t  = 0x' = x1-v2c2but x…

Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

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Q: A box is cubical with sides of proper lengths L₁ = L₂ = L3 = 1.8 m, as shown in the figure below,…

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Q: The inertial reference frames, S and S', both share the same origin at t =t'= 0. The s trame is…

A: using formula of spacetime coordinates in S coordinatees:r =γ(r'+vt')here r' = x' or y' or z'and r =…

Q: A spacecraft with proper length 600 m travels at speed of ().3c relative to an inertial frame of…

A: thank you

Q: 8. Find the ratio of mass of a particle in frame S' to S when the particle moving with velocity…

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Q: A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion…

A:

Q: n a linear collider, two particles travel toward each other from opposite directions before…

A: Here we have to calculate relative speed of electron with respect to the positron. Using relative…